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Finding the Fourth Proportional to 12,314.75, 18,472.26 and 3,080.75

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Solution

The fourth proportional to 12,314.75, 18,472.26 and 3,080.75 is: 4,621.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,314.75 : 18,472.26 = 3,080.75 : x
  2. Step 2: Convert to fraction form
    12,314.75/18,472.26 = 3,080.75/x
  3. Step 3: Cross multiply
    12,314.75x = 18,472.26 × 3,080.75
  4. Step 4: Simplify right side
    12,314.75x = 56,908,415.00
  5. Step 5: Solve for x
    x = 56,908,415.00/12,314.75
  6. Step 6: Final answer
    x = 4,621.16

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.